Atkin-Lehner |
5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
16225d |
Isogeny class |
Conductor |
16225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-111546875 = -1 · 56 · 112 · 59 |
Discriminant |
Eigenvalues |
1 -1 5+ -1 11- 4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,500] |
[a1,a2,a3,a4,a6] |
Generators |
[4:20:1] |
Generators of the group modulo torsion |
j |
-117649/7139 |
j-invariant |
L |
4.2273974182506 |
L(r)(E,1)/r! |
Ω |
1.5500649976354 |
Real period |
R |
1.3636194045732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
649a1 |
Quadratic twists by: 5 |